Resistance of Rectangular Parallelepiped Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle))
R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b))
This formula uses 1 Functions, 7 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Resistance - (Measured in Ohm) - Resistance is the property of a material that restricts the flow of electric current.
Resistivity - (Measured in Ohm Meter) - Resistivity is defined as the resistance offered to current flow by a conductor of unit length having unit area of cross-section.
Thickness of Layer - (Measured in Meter) - Thickness of Layer is often used for manufacturing casted parts to ensure that wall structure is designed with just the right amount of material.
Width of Diffused Layer - (Measured in Meter) - Width of Diffused Layer is the horizontal distance measured from side to side of a specific media type.
Length of Diffused Layer - (Measured in Meter) - Length of Diffused Layer is the measured distance from one end to the other of the longer or longest side of an object.
Width of Bottom Rectangle - (Measured in Meter) - Width of Bottom Rectangle is often used to describe the shorter side of rectangle.
Length of Bottom Rectangle - (Measured in Meter) - Length of Bottom Rectangle is often used to describe the longer side of the rectangle.
STEP 1: Convert Input(s) to Base Unit
Resistivity: 0.062 Ohm Centimeter --> 0.00062 Ohm Meter (Check conversion ​here)
Thickness of Layer: 100.5 Centimeter --> 1.005 Meter (Check conversion ​here)
Width of Diffused Layer: 4 Centimeter --> 0.04 Meter (Check conversion ​here)
Length of Diffused Layer: 25 Centimeter --> 0.25 Meter (Check conversion ​here)
Width of Bottom Rectangle: 14 Centimeter --> 0.14 Meter (Check conversion ​here)
Length of Bottom Rectangle: 4.7 Centimeter --> 0.047 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b)) --> ((0.00062*1.005)/(0.04*0.25))*(ln(0.14/0.047)/(0.14-0.047))
Evaluating ... ...
R = 0.731301530002495
STEP 3: Convert Result to Output's Unit
0.731301530002495 Ohm --> No Conversion Required
FINAL ANSWER
0.731301530002495 0.731302 Ohm <-- Resistance
(Calculation completed in 00.004 seconds)

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Resistance of Rectangular Parallelepiped Formula

​LaTeX ​Go
Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle))
R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b))

How does the material impact the resistance of the parallelepiped?

Different materials have different resistivities. For instance, copper has low resistivity, so a copper parallelepiped will have lower resistance compared to, say, an identical parallelepiped made of a material with higher resistivity, like rubber or glass.

How to Calculate Resistance of Rectangular Parallelepiped?

Resistance of Rectangular Parallelepiped calculator uses Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)) to calculate the Resistance, The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity. Resistance is denoted by R symbol.

How to calculate Resistance of Rectangular Parallelepiped using this online calculator? To use this online calculator for Resistance of Rectangular Parallelepiped, enter Resistivity (ρ), Thickness of Layer (t), Width of Diffused Layer (W), Length of Diffused Layer (L), Width of Bottom Rectangle (a) & Length of Bottom Rectangle (b) and hit the calculate button. Here is how the Resistance of Rectangular Parallelepiped calculation can be explained with given input values -> 0.731302 = ((0.00062*1.005)/(0.04*0.25))*(ln(0.14/0.047)/(0.14-0.047)).

FAQ

What is Resistance of Rectangular Parallelepiped?
The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity and is represented as R = ((ρ*t)/(W*L))*(ln(a/b)/(a-b)) or Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)). Resistivity is defined as the resistance offered to current flow by a conductor of unit length having unit area of cross-section, Thickness of Layer is often used for manufacturing casted parts to ensure that wall structure is designed with just the right amount of material, Width of Diffused Layer is the horizontal distance measured from side to side of a specific media type, Length of Diffused Layer is the measured distance from one end to the other of the longer or longest side of an object, Width of Bottom Rectangle is often used to describe the shorter side of rectangle & Length of Bottom Rectangle is often used to describe the longer side of the rectangle.
How to calculate Resistance of Rectangular Parallelepiped?
The Resistance of Rectangular Parallelepiped formula is defined as the electrical resistance of a material is a measure of its opposition to the flow of an electric current. For a rectangular parallelepiped-shaped material, the resistance depends on its dimensions, the material it's made of, and its intrinsic resistivity is calculated using Resistance = ((Resistivity*Thickness of Layer)/(Width of Diffused Layer*Length of Diffused Layer))*(ln(Width of Bottom Rectangle/Length of Bottom Rectangle)/(Width of Bottom Rectangle-Length of Bottom Rectangle)). To calculate Resistance of Rectangular Parallelepiped, you need Resistivity (ρ), Thickness of Layer (t), Width of Diffused Layer (W), Length of Diffused Layer (L), Width of Bottom Rectangle (a) & Length of Bottom Rectangle (b). With our tool, you need to enter the respective value for Resistivity, Thickness of Layer, Width of Diffused Layer, Length of Diffused Layer, Width of Bottom Rectangle & Length of Bottom Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Resistance?
In this formula, Resistance uses Resistivity, Thickness of Layer, Width of Diffused Layer, Length of Diffused Layer, Width of Bottom Rectangle & Length of Bottom Rectangle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resistance = (1/Ohmic Conductivity)*(Length of Diffused Layer/(Width of Diffused Layer*Thickness of Layer))
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